COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

Lux et veritas

COWLES FOUNDATION DISCUSSION PAPER NO. 784

"Edgeworth Equilibria in Production Economies"

Charalambos D. Aliprantis, Donald J. Brown and Owen Burkinshaw

March 1986

An Edgeworth equilibrium is an allocation that belongs to the core of every n-fold replica of the economy. In [2] we studied in the setting of Riesz spaces the properties of Edgeworth equilibria for pure exchange economies with infinite dimensional commodity spaces. In this work, we study the same problem for economies with production. Under some relatively mild conditions we establish (among other things) that: 1. Edgeworth equilibria exist; 2. Every Edgeworth equilibrium is a quasiequilibrium; and 3. An allocation is an Edgeworth equilibrium if and only if it can be "decentralized" by a price system.

JEL Classification: 021

Keywords: Edgeworth equilibrium, Riesz spaces, production economies